Calibration Estimators of Finite Population Total for Cluster Sample - (I)
A. A. El-Sheikh *
Department of Applied Statistics and Econometrics, Faculty of Graduate Studies for Statistical Research (F.G.S.S.R), Cairo University, Egypt.
H. A. El-Kossaly
Applied Statistics and Mathematic, High Institute of Specific Study, Giza, High Minister of Education, Egypt.
*Author to whom correspondence should be addressed.
Abstract
In survey sampling, the use of auxiliary information can greatly improve the precision of estimates of population total and/or means. Calibration estimation has developed into an important field of research in survey sampling where the auxiliary information plays an important role. In this paper, calibration estimator for cluster sampling with equal clusters have been introduced to improve variance estimator with the aid of auxiliary information and proposed the estimator of variance of calibration estimator. Six distances measures, presented the estimator of the variance of calibration approach estimators are introduced and a simulation study has been conducted to compare between the performance of calibration estimators against Horvitz-Thompson estimator using R statistical package.
Keywords: Auxiliary information, calibration, cluster sampling, distance measures, estimation of variance, equal clusters